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5634552440 = 23511137211443
BaseRepresentation
bin1010011111101100…
…00111001001111000
3112112200101220212102
411033312013021320
543014421134230
62331040002532
7256425622406
oct51766071170
915480356772
105634552440
112431615710
121113000448
136ba4645ca
143b6480476
1522e9ec045
hex14fd87278

5634552440 has 128 divisors (see below), whose sum is σ = 14028837120. Its totient is φ = 2019763200.

The previous prime is 5634552389. The next prime is 5634552457. The reversal of 5634552440 is 442554365.

It is a junction number, because it is equal to n+sod(n) for n = 5634552394 and 5634552403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12718859 + ... + 12719301.

It is an arithmetic number, because the mean of its divisors is an integer number (109600290).

Almost surely, 25634552440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5634552440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7014418560).

5634552440 is an abundant number, since it is smaller than the sum of its proper divisors (8394284680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5634552440 is a wasteful number, since it uses less digits than its factorization.

5634552440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 38.

The square root of 5634552440 is about 75063.6559194928. The cubic root of 5634552440 is about 1779.4528091226.

The spelling of 5634552440 in words is "five billion, six hundred thirty-four million, five hundred fifty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 137 211 220 274 422 440 443 548 685 844 886 1055 1096 1370 1507 1688 1772 2110 2215 2321 2740 3014 3544 4220 4430 4642 4873 5480 6028 7535 8440 8860 9284 9746 11605 12056 15070 17720 18568 19492 23210 24365 28907 30140 38984 46420 48730 57814 60280 60691 92840 93473 97460 115628 121382 144535 186946 194920 231256 242764 289070 303455 317977 373892 467365 485528 578140 606910 635954 667601 747784 934730 1028203 1156280 1213820 1271908 1335202 1589885 1869460 2056406 2427640 2543816 2670404 3179770 3338005 3738920 4112812 5141015 5340808 6359540 6676010 8225624 10282030 12719080 12805801 13352020 20564060 25611602 26704040 41128120 51223204 64029005 102446408 128058010 140863811 256116020 281727622 512232040 563455244 704319055 1126910488 1408638110 2817276220 5634552440